If by "famous" you mean the feud that the most people knew about, it would probably be Ali vs. Inoki. But if you're asking which was the biggest feud within wrestling circles, that's totally a matter of opinion. Jumbo/Baba vs. Hansen/Brody, maybe?

<!--QuoteBegin-Hisaharu Tanabe+--></span><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td>QUOTE (Hisaharu Tanabe)</td></tr><tr><td id='QUOTE'><!--QuoteEBegin-->
All Japan:
The Funks vs. Sheik/Abdullah (possibly the most important feud in the history of All Japan)[/quote]

I've seen this said by many people, Dave Meltzer included. I personally don't understand why the feud is as important as it is made out to be.

During most of the JWA days, it was usually Japanese (faces) vs. gaijins (heels). The feud between the Funks and Abby/Sheik changed that the gaijins can be super faces. In early 80s, Dory Jr. and Terry were even more popular than the Japanese team of Giant Baba & Jumbo Tsuruta. They even had a group of cheerleaders in the arena (consisted of the fans, not planted) for Terry.

<!--QuoteBegin-Hisaharu Tanabe+--></span><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td>QUOTE (Hisaharu Tanabe)</td></tr><tr><td id='QUOTE'><!--QuoteEBegin-->During most of the JWA days, it was usually Japanese (faces) vs. gaijins (heels). The feud between the Funks and Abby/Sheik changed that the gaijins can be super faces.[/quote]

I'm not so sure if it was really the Funks that changed that, however. Destroyer was an extremely popular babyface in 1973, 4 years before Dory and Terry officially "turned" during their feud with Abby and the Sheik. Also, Billy Robinson was often booked in All Japan as a face as well, he certainly got a large amount of cheers and a sympathetic angle in his feud against Abdullah in 77.

<!--QuoteBegin-Dynamic A+--></span><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td>QUOTE (Dynamic A)</td></tr><tr><td id='QUOTE'><!--QuoteEBegin-->I'm not so sure if it was really the Funks that changed that, however. Destroyer was an extremely popular babyface in 1973, 4 years before Dory and Terry officially "turned" during their feud with Abby and the Sheik. Also, Billy Robinson was often booked in All Japan as a face as well, he certainly got a large amount of cheers and a sympathetic angle in his feud against Abdullah in 77.[/quote]You're right that the Funks may not have actually "changed" that, but unlike The Destroyer, who actually lived in Japan and was a full time member/employee of All Japan, the Funks didn't really have to "side" with the Japanese to become the faces.

That is certainly a valid point. I just always saw the Funks' face turn and them being embraced by AJ fans as a part of a progression started by the Destroyer, who was well liked and somewhat of a cultural phenomenon even as he worked heel in the JWA because of his charisma and comedic timing.